**Collect like terms and simplify the expression: 12m2 – 9m + 5m – 4m2 – 7m + 10**

To simplify the expression by collecting like terms, we first identify and group the terms that have the same variable and exponent. 

Given expression:
\[ 12m^2 - 9m + 5m - 4m^2 - 7m + 10 \]

1. Combine the \( m^2 \) terms:
\[ 12m^2 - 4m^2 = 8m^2 \]

2. Combine the \( m \) terms:
\[ -9m + 5m - 7m = (-9 + 5 - 7)m = -11m \]

3. The constant term remains as it is:
\[ 10 \]

Putting it all together, the simplified expression is:
\[ 8m^2 - 11m + 10 \]

Would you like more details or have any other questions? Here are 5 numbered questions for you to ask next:

1. How do you factorize the expression \( 8m^2 - 11m + 10 \)?
2. What is the process for expanding and simplifying algebraic expressions?
3. How do you solve quadratic equations?
4. What are the properties of exponents used in simplifying expressions?
5. How can you use the distributive property to simplify expressions?

**Tip:** When combining like terms, always ensure that you match both the variable and the exponent to correctly simplify the expression.

Learn how to collect and simplify like terms in algebraic expressions with the example: 12m^2 - 9m + 5m - 4m^2 - 7m + 10. This problem involves combining terms with the same variable and exponent. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation